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regression exam
| Question | Answer |
|---|---|
| regression purpose | estimate the value of the dependent variable based on the independent variable |
| a, intercept | the predicted value of y when x=0 |
| b, slope | shows how much the DV will change when the IV (x) increases by one unit |
| bivariate relationship | 2 variables, scatterplots, correlation, and regression are ways to examine bivariate relationships |
| hypothesis | a statement that can be tested empirically, research question turned into statement |
| research question | a question that can be answered empirically |
| independent variable | explanatory variable, influences the DV |
| dependent variable | response/outcome variable, influenced by the IV |
| scatterplot | do not connect dots, IV on x axis, DV on y axis |
| shapes of scatterplot | linear, nonlinear/curvilinear, no pattern |
| direction of scatterplot | positive, negative |
| positive association | variables vary in the same direction |
| negative association | variables vary in opposite directions |
| strength of scatterplot | the most tightly clustered, the stronger the relationship |
| correlation (r) | a measure of the direction and strength of a linear relationship |
| regression line | minimizes the error (residual) between the predicted value of Y (Y^) and the observed value of Y (Yi) |
| error | distance between the actual value of Y (Yi) and the predicted value of Y (Y^) |
| regression and outliers | outliers can pull the regression line in one direction |
| r squared | tells us what proportion of the variation in Y is explained by X as accounted for in the regression equation |
| ordinary least squares regression | the best fitting line is the one that produces the smallest total squared error |
| r squared interpretation | percentage of the variation in ____ can be explained by the ______ |